SOLUTION: Fill in the blank to make the expression a perfect square x^2 + 2x + blank

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Question 1117089: Fill in the blank to make the expression a perfect square

x^2 + 2x + blank
Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Think about it.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2+%2B+2x+%2B+blank
recall:
%28a%2Bb%29%5E2=a%5E2%2B2ab%2Bb%5E2...so, your blank is b%5E2
use given coefficients a=1 and 2ab=2 and find b
2ab=2->2%2A1%2Ab=2->2b=2->b=2%2F2->b=1
so, blank=1%5E2
x%5E2+%2B+2x+%2B+1%5E2->x%5E2+%2B+2x+%2B+1->%28x%2B1%29%5E2